Sasane, Amol
(2006)
*An operator corona theorem for a class of subspaces of H∞.*
CDAM research report series,
LSE-CDAM-2006-02.
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

## Abstract

Let E;E be separable Hilbert spaces. If S is an open subset of T, then AS(L(E;E)) denotes the space of all functions f : D [ S ! L(E;E) that are holomorphic in D, and bounded and continuous on D [ S. In this article we prove the following main results: 1. A theorem concerning the approximation of f 2 AS(L(E;E)) by a function F that is holomorphic in a neighbourhood of D[S and such that the error F

Item Type: | Monograph (Report) |
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Official URL: | http://www.cdam.lse.ac.uk |

Additional Information: | © 2006 Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science |

Library of Congress subject classification: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM) |

Identification Number: | LSE-CDAM-2006-02 |

Date Deposited: | 10 Oct 2008 14:43 |

URL: | http://eprints.lse.ac.uk/13795/ |

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